{ "protocol": "Polynomial-time spectral solvers on N x N relation fields; embedding dimensions are irrelevant by construction. The hidden shuffle is applied to the text field and used only to score the returned assignment.", "samples": 256, "spectra": { "visual": { "top_eigenvalues": [ 147.1637294036846, 78.89628907375915, 71.54672667972316, 63.6054208003132, 54.71466598801889, 51.02765723457133, 41.21685943963252, 40.35336344252151, 39.2344681995082, 37.908920879404235, 35.027821446699384, 31.393888014029326 ], "effective_rank_participation": 51.26036347313812, "rank_for_90_percent": 236, "rank_for_99_percent": 256, "median_relative_gap": 0.00011354999291567204, "min_relative_gap_top20": 0.005677331958595377 }, "text": { "top_eigenvalues": [ 126.66472980940578, 116.22072270174806, 74.80443552301904, 59.33960188423506, 45.158235086311386, 42.213863232832836, 40.2725810846014, 36.868907747805004, 36.28237638947779, 34.46332870784146, 32.771498257261946, 29.859110599054905 ], "effective_rank_participation": 56.07655952546066, "rank_for_90_percent": 232, "rank_for_99_percent": 256, "median_relative_gap": 9.96865937130352e-05, "min_relative_gap_top20": 0.0023324704639200466 } }, "solvers": { "umeyama": { "accuracy": 0.0078125, "chance": 0.00390625 }, "grampa_eta0.05": { "accuracy": 0.00390625, "chance": 0.00390625 }, "grampa_eta0.1": { "accuracy": 0.0, "chance": 0.00390625 }, "grampa_eta0.2": { "accuracy": 0.0, "chance": 0.00390625 }, "grampa_eta0.5": { "accuracy": 0.00390625, "chance": 0.00390625 } }, "field_correlation_at_truth": 0.5076564986206815 }